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Finding the Fourth Proportional to 255,423.72, 382,741.68 and 161,732.64

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Solution

The fourth proportional to 255,423.72, 382,741.68 and 161,732.64 is: 242,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,423.72 : 382,741.68 = 161,732.64 : x
  2. Step 2: Convert to fraction form
    255,423.72/382,741.68 = 161,732.64/x
  3. Step 3: Cross multiply
    255,423.72x = 382,741.68 × 161,732.64
  4. Step 4: Simplify right side
    255,423.72x = 61,901,822,344.44
  5. Step 5: Solve for x
    x = 61,901,822,344.44/255,423.72
  6. Step 6: Final answer
    x = 242,349.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.